MATH 2B Lecture 15: HW20-S15
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The line integral (cid:2194) around this curve is 3. 83 10-4 t m. The figure at right shows, in cross-section, three conductors that carry currents through the plane of the figure. I1 = 4. 0 a, i2 = 6. 0 a, i3 = 2. 0 a, and the directions shown. Four paths, labeled a through d, are shown. Each integral involves going around the path in the counterclockwise direction. A very long solid cylindrical conductor of radius a carries a current i to the left as shown at right. Assume this current is evenly distributed its cross-sectional area. Concentric with this is a cylindrical shell of inner radius b and outer radius c. this carries an equal current i in the opposite direction, evenly distributed throughout the shell. Amp re"s law to derive expressions for the magnetic fields for all distances r from the center of the middle wire. Your expressions will be in terms of a, b, c, r, i, and fundamental constants.
